Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
422 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 103 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13114861 | C2 | semidirect |
| 3. #13112849 | C2 | semidirect |
| 4. #13112846 | C2 | semidirect |
| 5. C2×C13×C22⋊C16 | C2 | semidirect |
| 8. C2×#88158 | C4 | semidirect |
| 11. #11718777 | C4 | semidirect |
| 13. #11718776 | C4 | semidirect |
| 18. #11718767 | C4 | semidirect |
| 105. C2×C22⋊C16 | D13 | semidirect |
| 274. C13 | #11885 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124417 | 2 |
| #13114861 | 2 |
| #13112849 | 2 |
| #13112846 | 2 |
| C2×C13×C22⋊C16 | 2 |
| #11885 | 13 |